Numerical Methods
Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.
English Book & Chapters
English Book Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesGTU Previous Year Papers
Papers Coming Soon
We are working hard to add this material. Stay tuned for updates!
Follow on Instagram for UpdatesNumerical Methods Syllabus — Unit-wise Content
The official GTU curriculum for Numerical Methods (subject code 2140105) as prescribed for Aero · Semester 4 divides the course into 5 units, covering 23 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2140105)Unit 1 Root finding
- Bisection Methods
- False position Methods
- Newton – Raphson Methods
- Secant Methods and Successive Approximation Methods
Unit 2 Interpolation Techniques
- Newton’s interpolation methods for forward interpolation
- backward interpolation and Newton’s divided interpolation method
- Langrange’s interpolation methods
- Stirling’s interpolation methods
- Cubic spline interpolation
- interpolation by iteration
Unit 3 Numerical Integration
- Trapezoidal rule
- Simpson’s 1/3rd and 3/8th rule
- Weddle’s rule
Unit 4 Solution of system of linear equations using Numerical Techniques
- Gauss – Jacobi iterative methods
- Gauss – Seidel iterative methods
Unit 5 Numerical Solution of Ordinary differential equations
- Solution of Initial value problems by Taylor’s series
- Picard’s methods of successive approximation
- Runge – Kutta Method of order 2 and 4, Solution of Boundary value problems by Finite – Difference Methods
- Shooting methods 07 20 % Numerical Solution of Partial differential equations Finite difference approximation to derivatives
- solution of Laplace equation
- Successive over-relaxation methods
- parabolic equations 07 20 % Curve Fitting Least square curve fitting procedures for linear and non linear curves 04 10 % Finite Element methods Methods of Approximation - Rayleigh – Ritz Method
- Galerkin Methods